The ratio of Luke's money to Brandon's money is 3 : 7. If Brandon has $343, how much must he give to Luke so both will have the equal amount of money?
| |
Luke |
Brandon |
Total |
| Before |
3 u |
7 u |
10 u |
| Change |
+ 2 u |
- 2 u |
|
| After |
5 u |
5 u |
10 u |
Comparing Luke and
Brandon in the end |
1 |
1 |
|
Amount that Brandon has at first = 7 u
7 u = 343
1 u = 343 ÷ 7 = 49
Total amount that Brandon and Luke have
= 3 u + 7 u
= 10 u
Amount that each of them will have in the end
= 10 u ÷ 2
= 5 u
Amount that Brandon must give to Luke
= 5 u - 3 u
= 2 u
= 2 x 49
= $98
Answer(s): $98
